3402330624 has 480 divisors, whose sum is σ = 12583194624. Its totient is φ = 859299840.

The previous prime is 3402330619. The next prime is 3402330629. The reversal of 3402330624 is 4260332043.

It is a happy number.

3402330624 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 3 + 30 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (3402330619) and next prime (3402330629).

It is not an unprimeable number, because it can be changed into a prime (3402330629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15256977 + ... + 15257199.

Almost surely, 2^3402330624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291597312).

3402330624 is an abundant number, since it is smaller than the sum of its proper divisors (9180864000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3402330624 is a wasteful number, since it uses less digits than its factorization.

3402330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3402330624 is about 58329.5004607446. The cubic root of 3402330624 is about 1504.0381007399.

Adding to 3402330624 its reverse (4260332043), we get a palindrome (7662662667).

The spelling of 3402330624 in words is "three billion, four hundred two million, three hundred thirty thousand, six hundred twenty-four".